On the stability of Hamiltonian systems with weakly time dependent potentials

DOI10.1063/1.4808250zbMath1331.70046OpenAlexW1987193705WikidataQ44602900 ScholiaQ44602900MaRDI QIDQ2787841

Lawrence P. Horwitz, Jacob Levitan, Asher Yahalom, Meir Lewkowicz

Publication date: 4 March 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4808250

Mathematics Subject Classification ID

Hamilton's equations (70H05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (1)

Hamiltonian map to conformal modification of spacetime metric: Kaluza-Klein and TeVeS

Cites Work

• Lyapunov vs. Geometrical stability analysis of the Kepler and the restricted three body problems
• Hamiltonian map to conformal modification of spacetime metric: Kaluza-Klein and TeVeS
• Geometry and topology in Hamiltonian dynamics and statistical mechanics
• Local Lyapunov exponents. Sublimiting growth rates of linear random differential equations
• Chaos in classical and quantum mechanics
• Analysis of the local robustness of stability for flows
• Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits
• On the absence of stable periodic orbits in domains of separatrix crossings in nonsymmetric slow-fast Hamiltonian systems
• Slowly pulsating separatrices sweep homoclinic tangles where islands must be small: an extension of classical adiabatic theory

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